A vehicle travels half the distance with speed θ and the rem... | Physics | SolveeIt

A vehicle travels half the distance with speed θ and the remaining distance with speed 2θ. its average speed is

$\frac{3\theta}{3}$

$\frac{\theta}{3}$

$\frac{2\theta}{3}$

$\frac{4\theta}{3}$

Answer

$\frac{4\theta}{3}$

Explanation

$\theta_{avg}=\frac{2\theta_1 \theta_2}{\theta_1+\theta_2}$

$\theta_{avg}=\frac{2(\theta)(2\theta)}{\theta+2\theta}$

$\theta_{avg}=\frac{4\theta^2}{3\theta}$

$\theta_{avg}=\frac{4\theta}{3}$

So, the correct option is (D): $\frac{4\theta}{3}$

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